8003313117 has 6 divisors (see below), whose sum is σ = 11560341182. Its totient is φ = 5335542072.

The previous prime is 8003313103. The next prime is 8003313127. The reversal of 8003313117 is 7113133008.

It can be written as a sum of positive squares in only one way, i.e., 5961538521 + 2041774596 = 77211^2 + 45186^2 .

It is not a de Polignac number, because 8003313117 - 2¹⁸ = 8003050973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003313127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444628498 + ... + 444628515.

Almost surely, 2^8003313117 is an apocalyptic number.

It is an amenable number.

8003313117 is a deficient number, since it is larger than the sum of its proper divisors (3557028065).

8003313117 is a wasteful number, since it uses less digits than its factorization.

8003313117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889257019 (or 889257016 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 8003313117 is about 89461.2380699038. The cubic root of 8003313117 is about 2000.2760549784.

The spelling of 8003313117 in words is "eight billion, three million, three hundred thirteen thousand, one hundred seventeen".